A194984 - OEIS

A194984

Interspersion fractally induced by A194964, a rectangular array, by antidiagonals.

1, 3, 2, 6, 4, 5, 10, 7, 9, 8, 15, 11, 14, 12, 13, 21, 16, 20, 17, 19, 18, 28, 22, 27, 23, 26, 24, 25, 36, 29, 35, 30, 34, 31, 33, 32, 45, 37, 44, 38, 43, 39, 42, 40, 41, 55, 46, 54, 47, 53, 48, 52, 49, 51, 50, 66, 56, 65, 57, 64, 58, 63, 59, 62, 61, 60, 78, 67, 77

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence. Every pair of rows eventually intersperse. As a sequence, A194984 is a permutation of the positive integers, with inverse A194985.

LINKS

Table of n, a(n) for n=1..69.

EXAMPLE

Northwest corner:

1...3...6...10..15..21..28

2...4...7...11..16..22..29

5...9...14..20..27..35..44

8...12..17..23..30..38..47

13..19..26..34..43..53..64

MATHEMATICA

r = Sqrt[5]; p[n_] := 1 + Floor[n/r]

Table[p[n], {n, 1, 90}] (* A194964 *)